INVESTIGATION OF THE ERROR DUE TO THE PRESENCE OF THE MAPPED ELEMENT

  • Yang, Young-Kyun (School of the Liberal Arts, Seoul National University of Technology) ;
  • Kim, Chang-Geun (Department of Mathematics, Research Institute of Basic Science, Kwangwoon University)
  • Received : 2002.03.25
  • Published : 2002.10.21

Abstract

We analyze the error in the $p$ version of the of the finite element method when the effect of the quadrature error is taken into account. We investigate source of quadrature error due to the presence of mapped elements. We present theoretical and computational examples regarding the sharpness of our results.

Keywords